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(asin(x))*tan(x)
Derivada de la función/ sin(x)/ tan(x)/ (asin(x))*tan(x)

Derivada de (asin(x))*tan(x)

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
asin(x)*tan(x)
tan⁡(x)asin⁡(x)\tan{\left(x \right)} \operatorname{asin}{\left(x \right)} 
asin(x)*tan(x)
Gráfica
02468-8-6-4-2-1010-1010
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Trazar el gráfico f'(x)
Primera derivada [src] 
   tan(x)     /       2   \        
----------- + \1 + tan (x)/*asin(x)
   ________                        
  /      2                         
\/  1 - x
(tan⁡2(x)+1)asin⁡(x)+tan⁡(x)1−x2\left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{\tan{\left(x \right)}}{\sqrt{1 - x^{2}}}
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Segunda derivada [src] 
  /       2   \                                               
2*\1 + tan (x)/     x*tan(x)      /       2   \               
--------------- + ----------- + 2*\1 + tan (x)/*asin(x)*tan(x)
     ________             3/2                                 
    /      2      /     2\                                    
  \/  1 - x       \1 - x /
xtan⁡(x)(1−x2)32+2(tan⁡2(x)+1)tan⁡(x)asin⁡(x)+2(tan⁡2(x)+1)1−x2\frac{x \tan{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}{\left(x \right)} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)}{\sqrt{1 - x^{2}}}
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Tercera derivada [src] 
  /          2 \                                                                                              
  |       3*x  |                                                                                              
  |-1 + -------|*tan(x)                                                                                       
  |           2|                                                        /       2   \     /       2   \       
  \     -1 + x /            /       2   \ /         2   \           3*x*\1 + tan (x)/   6*\1 + tan (x)/*tan(x)
- --------------------- + 2*\1 + tan (x)/*\1 + 3*tan (x)/*asin(x) + ----------------- + ----------------------
               3/2                                                             3/2              ________      
       /     2\                                                        /     2\                /      2       
       \1 - x /                                                        \1 - x /              \/  1 - x
3x(tan⁡2(x)+1)(1−x2)32+2(tan⁡2(x)+1)(3tan⁡2(x)+1)asin⁡(x)+6(tan⁡2(x)+1)tan⁡(x)1−x2−(3x2x2−1−1)tan⁡(x)(1−x2)32\frac{3 x \left(\tan^{2}{\left(x \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \tan{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}
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Gráfico
Derivada de (asin(x))*tan(x)
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